$$\left(3 - 1 \frac{15}{28}\right) \cdot 2 \frac{2}{6} \cdot \frac{1}{19} = \left(3 - \frac{1 \cdot 28 + 15}{28}\right) \cdot \frac{2 \cdot 6 + 2}{6} \cdot \frac{1}{19} = \left(3 - \frac{43}{28}\right) \cdot \frac{14}{6} \cdot \frac{1}{19} = \left(\frac{3 \cdot 28}{28} - \frac{43}{28}\right) \cdot \frac{14}{6} \cdot \frac{1}{19} = \frac{84-43}{28} \cdot \frac{14}{6} \cdot \frac{1}{19} = \frac{41}{28} \cdot \frac{14}{6} \cdot \frac{1}{19} = \frac{41 \cdot 14}{28 \cdot 6 \cdot 19} = \frac{41 \cdot 1}{2 \cdot 6 \cdot 19} = \frac{41}{228}$$
Ответ: $$\frac{41}{228}$$